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Finding the Fourth Proportional to 9,683.70, 14,525.55 and 3,840.30

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Solution

The fourth proportional to 9,683.70, 14,525.55 and 3,840.30 is: 5,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.70 : 14,525.55 = 3,840.30 : x
  2. Step 2: Convert to fraction form
    9,683.70/14,525.55 = 3,840.30/x
  3. Step 3: Cross multiply
    9,683.70x = 14,525.55 × 3,840.30
  4. Step 4: Simplify right side
    9,683.70x = 55,782,469.67
  5. Step 5: Solve for x
    x = 55,782,469.67/9,683.70
  6. Step 6: Final answer
    x = 5,760.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.